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Fearless Symmetry : Exposing the Hidden Patterns of Numbers - New Edition / / Robert Gross, Avner Ash
| Fearless Symmetry : Exposing the Hidden Patterns of Numbers - New Edition / / Robert Gross, Avner Ash |
| Autore | Ash Avner |
| Edizione | [New edition with a New preface by the authors] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2008] |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina | 512.7 |
| Soggetto topico | Number theory |
| ISBN |
1-282-96489-5
9786612964893 1-4008-3777-4 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Foreword -- Preface To The Paperback Edition -- Preface -- Acknowledgments -- Greek Alphabet -- Part One. Algebraic Preliminaries -- Chapter 1. Representations -- Chapter 2. Groups -- Chapter 3. Permutations -- Chapter 4. Modular Arithmetic -- Chapter 5. Complex Numbers -- Chapter 6. Equations and Varieties -- Chapter 7. Quadratic Reciprocity -- Part Two. Galois Theory and Representations -- Chapter 8. Galois Theory -- Chapter 9. Elliptic Curves -- Chapter 10. Matrices -- Chapter 11. Groups of Matrices -- Chapter 12. Group Representations -- Chapter 13. The Galois Group Of A Polynomial -- Chapter 14. The Restriction Morphism -- Chapter 15. The Greeks Had a Name for it -- Chapter 16. Frobenius -- Part Three. Reciprocity Laws -- Chapter 17. Reciprocity Laws -- Chapter 18. One- And Two-Dimensional Representations -- Chapter 19. Quadratic Reciprocity Revisited -- Chapter 20. A Machine for Making Galois Representations -- Chapter 21. A Last Look at Reciprocity -- Chapter 22. Fermat's Last Theorem and Generalized Fermat Equations -- Chapter 23. Retrospect -- Bibliography -- Index |
| Record Nr. | UNINA-9910791450503321 |
Ash Avner
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| Princeton, NJ : , : Princeton University Press, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fearless Symmetry : Exposing the Hidden Patterns of Numbers - New Edition / / Robert Gross, Avner Ash
| Fearless Symmetry : Exposing the Hidden Patterns of Numbers - New Edition / / Robert Gross, Avner Ash |
| Autore | Ash Avner |
| Edizione | [New edition with a New preface by the authors] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2008] |
| Descrizione fisica | 1 online resource (307 p.) |
| Disciplina | 512.7 |
| Soggetto topico | Number theory |
| ISBN |
1-282-96489-5
9786612964893 1-4008-3777-4 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Foreword -- Preface To The Paperback Edition -- Preface -- Acknowledgments -- Greek Alphabet -- Part One. Algebraic Preliminaries -- Chapter 1. Representations -- Chapter 2. Groups -- Chapter 3. Permutations -- Chapter 4. Modular Arithmetic -- Chapter 5. Complex Numbers -- Chapter 6. Equations and Varieties -- Chapter 7. Quadratic Reciprocity -- Part Two. Galois Theory and Representations -- Chapter 8. Galois Theory -- Chapter 9. Elliptic Curves -- Chapter 10. Matrices -- Chapter 11. Groups of Matrices -- Chapter 12. Group Representations -- Chapter 13. The Galois Group Of A Polynomial -- Chapter 14. The Restriction Morphism -- Chapter 15. The Greeks Had a Name for it -- Chapter 16. Frobenius -- Part Three. Reciprocity Laws -- Chapter 17. Reciprocity Laws -- Chapter 18. One- And Two-Dimensional Representations -- Chapter 19. Quadratic Reciprocity Revisited -- Chapter 20. A Machine for Making Galois Representations -- Chapter 21. A Last Look at Reciprocity -- Chapter 22. Fermat's Last Theorem and Generalized Fermat Equations -- Chapter 23. Retrospect -- Bibliography -- Index |
| Record Nr. | UNINA-9910824933103321 |
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Ash Avner
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| Princeton, NJ : , : Princeton University Press, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A guide to elementary number theory / / Underwood Dudley [[electronic resource]]
| A guide to elementary number theory / / Underwood Dudley [[electronic resource]] |
| Autore | Dudley Underwood |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2009 |
| Descrizione fisica | 1 online resource (x, 141 pages) : digital, PDF file(s) |
| Disciplina | 512.7/2 |
| Collana |
Dolciani Mathematical Expositions
Dolciani mathematical expositions MAA guides |
| Soggetto topico | Number theory |
| ISBN | 0-88385-918-1 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Greatest common divisors -- Unique factorization -- Linear Diophantine equations -- Congruences -- Linear congruences -- The Chinese remainder theorem -- Fermat's theorem -- Wilson's theorem -- The number of divisors of an integer -- The sum of the divisors of an integer -- Amicable numbers -- Perfect numbers -- Euler's theorem and function -- Primitive roots and orders -- Decimals -- Quadratic congruences -- Gauss's lemma -- The quadratic reciprocity theorem -- The Jacobi symbol -- Pythagorean triangles -- x⁴ + y⁴ [not equal] z⁴ -- Sums of two squares -- Sums of three squares -- Sums of four squares -- Waring's problem -- Pell's equation -- Continued fractions -- Multigrades -- Carmichael numbers -- Sophie Germain primes -- The group of multiplicative functions -- Bounds for [pi](x) -- The sum of the reciprocals of the primes -- The Riemann hypothesis -- The prime number theorem -- The abc conjecture -- Factorization and testing for primes -- Algebraic and transcendental numbers -- Unsolved problems. |
| Record Nr. | UNINA-9910791745703321 |
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Dudley Underwood
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| Washington : , : Mathematical Association of America, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A guide to elementary number theory / / Underwood Dudley [[electronic resource]]
| A guide to elementary number theory / / Underwood Dudley [[electronic resource]] |
| Autore | Dudley Underwood |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2009 |
| Descrizione fisica | 1 online resource (x, 141 pages) : digital, PDF file(s) |
| Disciplina | 512.7/2 |
| Collana |
Dolciani Mathematical Expositions
Dolciani mathematical expositions MAA guides |
| Soggetto topico | Number theory |
| ISBN | 0-88385-918-1 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Greatest common divisors -- Unique factorization -- Linear Diophantine equations -- Congruences -- Linear congruences -- The Chinese remainder theorem -- Fermat's theorem -- Wilson's theorem -- The number of divisors of an integer -- The sum of the divisors of an integer -- Amicable numbers -- Perfect numbers -- Euler's theorem and function -- Primitive roots and orders -- Decimals -- Quadratic congruences -- Gauss's lemma -- The quadratic reciprocity theorem -- The Jacobi symbol -- Pythagorean triangles -- x⁴ + y⁴ [not equal] z⁴ -- Sums of two squares -- Sums of three squares -- Sums of four squares -- Waring's problem -- Pell's equation -- Continued fractions -- Multigrades -- Carmichael numbers -- Sophie Germain primes -- The group of multiplicative functions -- Bounds for [pi](x) -- The sum of the reciprocals of the primes -- The Riemann hypothesis -- The prime number theorem -- The abc conjecture -- Factorization and testing for primes -- Algebraic and transcendental numbers -- Unsolved problems. |
| Record Nr. | UNINA-9910809577103321 |
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Dudley Underwood
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| Washington : , : Mathematical Association of America, , 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning
| Lectures on Modular Forms. (AM-48), Volume 48 / / Robert C. Gunning |
| Autore | Gunning Robert C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (108 pages) : illustrations |
| Disciplina | 512.87 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Forms, Modular
Modular functions |
| Soggetto non controllato |
Automorphism
Big O notation Calculation Chain rule Change of variables Coefficient Compact Riemann surface Compact space Compactification (mathematics) Cusp form Differential form Dimension (vector space) Eisenstein series Ellipse Equivalence class Equivalence relation Euler characteristic Fourier series Fundamental domain Geometry Hilbert space Integer Linear combination Linear fractional transformation Linear map Linear subspace Local coordinates Meromorphic function Modular form Modular group Neighbourhood (mathematics) Quadratic form Quotient group Quotient space (topology) Requirement Riemann sphere Riemann surface Scientific notation Strong topology Subgroup Summation Theorem Uniformization theorem Upper half-plane Vector space |
| ISBN | 1-4008-8166-8 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- INTRODUCTION / Gunning, R . C . -- CONTENTS -- CHAPTER I. GEOMETRICAL BACKGROUND -- CHAPTER II. MODULAR FORMS -- CHAPTER III. POINCARÉ SERIES -- CHAPTER IV. EISENSTEIN SERIES -- CHAPTER V. MODULAR CORRESPONDENCES -- CHAPTER VI. QUADRATIC FORMS |
| Record Nr. | UNINA-9910154753603321 |
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Gunning Robert C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Prime-detecting sieves [[electronic resource] /] / Glyn Harman
| Prime-detecting sieves [[electronic resource] /] / Glyn Harman |
| Autore | Harman G (Glyn), <1956-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2007 |
| Descrizione fisica | 1 online resource (379 p.) |
| Disciplina | 512.7/3 |
| Collana | London Mathematical Society monographs series |
| Soggetto topico |
Sieves (Mathematics)
Numbers, Prime Number theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-691-20299-0
1-283-84829-5 1-4008-4593-9 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Notation -- Chapter 1. Introduction -- Chapter 2. The Vaughan Identity -- Chapter 3. The Alternative Sieve -- Chapter 4. The Rosser-Iwaniec Sieve -- Chapter 5. Developing the Alternative Sieve -- Chapter 6. An Upper-Bound Sieve -- Chapter 7. Primes in Short Intervals -- Chapter 8. The Brun-Titchmarsh Theorem on Average -- Chapter 9. Primes in Almost All Intervals -- Chapter 10. Combination with the Vector Sieve -- Chapter 11. Generalizing to Algebraic Number Fields -- Chapter 12. Variations on Gaussian Primes -- Chapter 13. Primes of the Form x3 + 2y3 -- Chapter 14. Epilogue -- Appendix -- Bibliography -- Index |
| Record Nr. | UNINA-9910452847303321 |
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Harman G (Glyn), <1956->
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| Princeton, : Princeton University Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Prime-detecting sieves [[electronic resource] /] / Glyn Harman
| Prime-detecting sieves [[electronic resource] /] / Glyn Harman |
| Autore | Harman G (Glyn), <1956-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2007 |
| Descrizione fisica | 1 online resource (379 p.) |
| Disciplina | 512.7/3 |
| Collana | London Mathematical Society monographs series |
| Soggetto topico |
Sieves (Mathematics)
Numbers, Prime Number theory |
| ISBN |
0-691-20299-0
1-283-84829-5 1-4008-4593-9 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Notation -- Chapter 1. Introduction -- Chapter 2. The Vaughan Identity -- Chapter 3. The Alternative Sieve -- Chapter 4. The Rosser-Iwaniec Sieve -- Chapter 5. Developing the Alternative Sieve -- Chapter 6. An Upper-Bound Sieve -- Chapter 7. Primes in Short Intervals -- Chapter 8. The Brun-Titchmarsh Theorem on Average -- Chapter 9. Primes in Almost All Intervals -- Chapter 10. Combination with the Vector Sieve -- Chapter 11. Generalizing to Algebraic Number Fields -- Chapter 12. Variations on Gaussian Primes -- Chapter 13. Primes of the Form x3 + 2y3 -- Chapter 14. Epilogue -- Appendix -- Bibliography -- Index |
| Record Nr. | UNINA-9910779337503321 |
|
Harman G (Glyn), <1956->
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||
| Princeton, : Princeton University Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Prime-detecting sieves [[electronic resource] /] / Glyn Harman
| Prime-detecting sieves [[electronic resource] /] / Glyn Harman |
| Autore | Harman G (Glyn), <1956-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, : Princeton University Press, c2007 |
| Descrizione fisica | 1 online resource (379 p.) |
| Disciplina | 512.7/3 |
| Collana | London Mathematical Society monographs series |
| Soggetto topico |
Sieves (Mathematics)
Numbers, Prime Number theory |
| ISBN |
0-691-20299-0
1-283-84829-5 1-4008-4593-9 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Notation -- Chapter 1. Introduction -- Chapter 2. The Vaughan Identity -- Chapter 3. The Alternative Sieve -- Chapter 4. The Rosser-Iwaniec Sieve -- Chapter 5. Developing the Alternative Sieve -- Chapter 6. An Upper-Bound Sieve -- Chapter 7. Primes in Short Intervals -- Chapter 8. The Brun-Titchmarsh Theorem on Average -- Chapter 9. Primes in Almost All Intervals -- Chapter 10. Combination with the Vector Sieve -- Chapter 11. Generalizing to Algebraic Number Fields -- Chapter 12. Variations on Gaussian Primes -- Chapter 13. Primes of the Form x3 + 2y3 -- Chapter 14. Epilogue -- Appendix -- Bibliography -- Index |
| Record Nr. | UNINA-9910825316803321 |
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Harman G (Glyn), <1956->
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| Princeton, : Princeton University Press, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Trigonometric sums in number theory and analysis [[electronic resource] /] / by G.I. Arkhipov, V.N. Chubarikov, A.A. Karatsuba
| Trigonometric sums in number theory and analysis [[electronic resource] /] / by G.I. Arkhipov, V.N. Chubarikov, A.A. Karatsuba |
| Autore | Arkhipov Gennadiĭ Ivanovich |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2004 |
| Descrizione fisica | 1 online resource (564 p.) |
| Disciplina | 512.7 |
| Altri autori (Persone) |
ChubarikovV. N <1951-> (Vladimir Nikolaevich)
Karat͡subaAnatoliĭ Alekseevich |
| Collana | De Gruyter expositions in mathematics |
| Soggetto topico | Trigonometric sums |
| ISBN |
1-283-42839-3
9786613428394 3-11-916551-4 3-11-019798-7 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- Chapter 1. Trigonometric integrals -- Chapter 2. Rational trigonometric sums -- Chapter 3. Weyl sums -- Chapter 4. Mean value theorems for multiple trigonometric sums -- Chapter 5. Estimates for multiple trigonometric sums -- Chapter 6. Several applications -- Chapter 7. Special cases of the theory of multiple trigonometric sums -- Chapter 8. The Hilbert-Kamke problem and its generalizations -- Chapter 9. The padic method in three problems of number theory -- Chapter 10. Estimates of multiple trigonometric sums with prime numbers -- Chapter 11. Some applications of trigonometric sums and integrals -- Chapter 12. Short Kloosterman sums -- Backmatter |
| Record Nr. | UNINA-9910782195603321 |
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Arkhipov Gennadiĭ Ivanovich
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| Berlin ; ; New York, : Walter de Gruyter, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Trigonometric sums in number theory and analysis / / by G.I. Arkhipov, V.N. Chubarikov, A.A. Karatsuba
| Trigonometric sums in number theory and analysis / / by G.I. Arkhipov, V.N. Chubarikov, A.A. Karatsuba |
| Autore | Arkhipov Gennadiĭ Ivanovich |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, c2004 |
| Descrizione fisica | 1 online resource (564 p.) |
| Disciplina | 512.7 |
| Altri autori (Persone) |
ChubarikovV. N <1951-> (Vladimir Nikolaevich)
Karat͡subaAnatoliĭ Alekseevich |
| Collana | De Gruyter expositions in mathematics |
| Soggetto topico | Trigonometric sums |
| ISBN |
1-283-42839-3
9786613428394 3-11-916551-4 3-11-019798-7 |
| Classificazione | SK 180 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- Chapter 1. Trigonometric integrals -- Chapter 2. Rational trigonometric sums -- Chapter 3. Weyl sums -- Chapter 4. Mean value theorems for multiple trigonometric sums -- Chapter 5. Estimates for multiple trigonometric sums -- Chapter 6. Several applications -- Chapter 7. Special cases of the theory of multiple trigonometric sums -- Chapter 8. The Hilbert-Kamke problem and its generalizations -- Chapter 9. The padic method in three problems of number theory -- Chapter 10. Estimates of multiple trigonometric sums with prime numbers -- Chapter 11. Some applications of trigonometric sums and integrals -- Chapter 12. Short Kloosterman sums -- Backmatter |
| Record Nr. | UNINA-9910819014203321 |
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Arkhipov Gennadiĭ Ivanovich
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||
| Berlin ; ; New York, : Walter de Gruyter, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
